Question

Suppose a function of 40 crickets doubles in size every month. The function f(x)=40•2x gives the population x months. How many crickets will there be after 3 years?

Answer 1

2,880

Explanation:

The function is given by:

f(x)=40(2)^x

where x is in months

he population after 3 years will be found as follows:

x=3 years=3×12=36 months

thus the population after 3 years will be:

f(36)=40(2)^36

f(36)=2.748779069×10^12 or 2,880

Answer 2

Your answer would be 2,880 crickets